Liberal-democratic parties face unprecedented challenges, but remain a viable part of European party systems

Liberal-democratic parties have been a stable feature of several party systems in Europe, but in recent years parties such as the Liberal Democrats in the UK and the FDP in Germany have experienced significant downturns in support. Bruno Marino assesses the challenges that such parties now face in European elections. He argues that while there are notable problems facing certain parties, such as the growth of new challengers on the far-left and far-right of the political spectrum, the notion that liberal-democratic parties are now on an irreversible decline is premature

On Strong convergence of Halpern's method using averaged type mappings

In this paper, inspired by Iemoto and Takahashi [S. Iemoto, W. Takahashi, Nonlinear Analysis 71, (2009), 2082-2089], we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping. A crucial tool in our results is the regularization with the averaged type mappings [C. Byrne, Inverse Probl. 20, (2004), 103-120]

Construção de campos eletromagnéticos nulos

Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2014.Neste trabalho, é explorada uma solução particular das equações de Maxwell, como vista em [6] e[11], de tal sorte que os campos solução são campos nulos. Isto é feito utilizando três métodos distintos. A solução em questão é tal que as curvas integrais dos campos elétrico e magnético obtidos são círculos de Hopf, ou seja, círculos obtidos pela fibração de Hopf. Ainda que a solução explorada seja particular, os métodos apresentados permitem obter uma infinidade de campos eletromagnéticos nulos. Um desses métodos está relacionado às superfícies mínimas e pode prover uma relação entre a geometria de uma superfície mínima com os campos eletromagnéticos nulos a ela associados. __________________________________________________________________________ ABSTRACTIn this work, a particular solution to the Maxwell's equations is discussed, as seen on [6] and [11],in such a way that the electromagnetic fields obtained as solutions are null vector fields. This is done by using three different methods. The aforementioned solution is such that the field lines of the electricand magnetic fields obtained are Hopf circles, that is, circles obtained using Hopf's fibration. Althoughthe solution exhibited is a particular one, the presented methods allow to generate an infinity of null electromagnetic fields. One of this methods is related to minimal surfaces and may provide a relation between the geometry of a minimal surface and the null electromagnetic fields attached to it

The great excuse: how Renzi could exploit the UK’s EU deal

The conclusion of the UK’s renegotiation has obvious implications for British party politics, but what impact has the deal had on domestic politics in other EU countries? Bruno Marino and Nicola Martocchia Diodati write on reactions to the deal in Italy. They state that while the response has been mixed among Italian parties, Matteo Renzi is likely to view the deal as an opportunity to push for European concessions over the ongoing migration crisis

Whatever its outcome, the Brexit referendum is likely to strengthen anti-EU rhetoric in Italy

What impact is the UK’s EU referendum likely to have on Italian politics? Bruno Marino and Nicola Martocchia Diodati see few chances for the referendum to reinforce the position of pro-EU parties in Italy, irrespective of its outcome. With Euroscepticism on the rise in Italy, even a win for the Remain campaign could bolster stances critical of further European integration. They argue that the only possible outcome that could benefit the pro-EU camp is one through which the values of unity and solidarity are highlighted

Spiral pattern: universe, normal heart, and complex congenital defects

n/